6 citations · 6 across the 1 of their papers we have counts for
3 papers
math.RA2021★ 6 cited
One-generated nilpotent bicommutative algebras
Ivan Kaygorodov, Pilar Páez-Guillán, Vasily Voronin
We give a classification of - and -dimensional complex one-generated nilpotent bicommutative algebras.
math.RA2019
The algebraic and geometric classification of nilpotent bicommutative algebras
Ivan Kaygorodov, María Pilar Paez Guillán, Vasily Voronin
We classify the -dimensional nilpotent bicommutative algebras over from both algebraic and geometric approaches.
math.RA2010
Special and exceptional Jordan dialgebras
Vasily Voronin
In this paper, we study the class of Jordan dialgebras. We develop an approach for reducing problems on dialgebras to the case of ordinary algebras. It is shown that straightforwar…